Karmaşık Örnekleme Planlarında Çeşitli Varyans Tahmin Yöntemleri ve Uygulama

Yıl 2004, Cilt: 3 Sayı: 1, 85 - 101, 15.04.2004

Funda Tercan Hülya Çıngı

Öz

Bu çalışmada karmaşık örnekleme planlarında varyans tahmini için kullanılan yöntemler incelendi. İlk bölümde konuya giriş yapıldı. İkinci bölümde karmaşık örnekleme planlarında varyans tahmin yöntemlerinden olan Taylor serisi yöntemi, üçüncü bölümde rasgele grup yöntemlerinden bağımlı rasgele grup ile bağımsız rasgele grup yöntemleri, dördüncü bölümde tekrarlı yöntemlerden dengeli olarak tekrarlanan tekrarlı yöntem, jacknife yöntemi ve bootstrap yöntemi, beşinci bölümde ise genelleştirilmiş varyans fonksiyonu incelenerek kuramsal özellikleri, yöntemlerin uygulanış şekilleri, örneklem planındaki kısıtlamaları üzerinde duruldu. Altıncı bölümde açıklanan yöntemler kuramsal özellikleri, uygulanış şekilleri, sonuçlardaki doğruluk ve maliyetleri bakımından karşılaştırıldı. Yedinci bölümde ise bugüne dek karmaşık örnekleme planlarında varyans eşitlikleri incelenmemiş olan oransal, çarpımsal, regresyon tahmin edicileri için açıklanan yöntemler kullanılarak elde edilen varyans eşitlikleri verildi. Sekizinci bölümde açıklanan yöntemleri kullanarak Ankara ilinde bulunan 843 sanayi kuruluşundan tabakalı sistematik örnekleme ile elde edilen 163 birimlik örneklemden bazı özelliklerin tahminleri ve varyans tahminlerini elde etmek amacıyla yazılmış programdan elde edilen sonuçlardan bazı örnekler verildi ve elde edilen bu sonuçlar ile yöntemler karşılaştırıldı.

Anahtar Kelimeler

Varyans Tahmini, Karmaşık Örneklemler, Yeniden (Tekrarlı) Örnekleme Yöntemleri

Various Variance Estimation Methods for Complex Sampling Survey and Application

Öz

In this study, variance estimation methods for complex sampling survey were examined. In the first chapter a brief introduction was made. In the following chapters, Taylor series method, dependent and independent random group methods from random group method, balanced repeated replication method, jackknife and bootstrap methods from resampling methods and lastly generalized variance function were examined, theoretical properties, methods appliance forms, restrictions of sampling were studied. In the sixth chapter, these methods were compared with each other based on their theoretical properties, appliance forms, accuracy of results and costs. In the seventh chapter, variance equations were obtained using the methods those are described for ratio, multiplier and regression estimators whose variance equations have not been examined in complex sampling survey up to now. In the eigth chapter, some results obtained from a software application developed to obtain estimators and variance equations over a stratified systematic sampling having 163 units, obtained from 843 industrial corporations in Ankara were given. Lastly some results of estimators and variance estimators which were obtained from these methods were placed and compared with each other.

Anahtar Kelimeler

Variance Estimation, Complex Survey, Resampling Methods

Kaynakça

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